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Finding the Third Proportional to 101,583 and 154,953

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Solution

The third proportional to 101,583 and 154,953 is: 236,362.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,583 : 154,953 = 154,953 : x
  2. Step 2: Convert to fraction form
    101,583/154,953 = 154,953/x
  3. Step 3: Cross multiply
    101,583x = 154,953 × 154,953
  4. Step 4: Simplify right side
    101,583x = 24,010,432,209
  5. Step 5: Solve for x
    x = 24,010,432,209/101,583
  6. Step 6: Final answer
    x = 236,362.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.